Details

sample40.0ms

Algorithm

intervals

Results

18.0ms	122×	body	1280	valid
7.0ms	79×	body	640	valid
3.0ms	355×	pre	80	true
2.0ms	34×	body	320	valid
1.0ms	104×	body	80	valid
1.0ms	16×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2
done	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize3.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

12.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify60.0ms

Counts

31 → 31

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90
done	5003	90

prune58.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series237.0ms

Counts

1 → 3

Calls

1 calls:

237.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify34.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	74
1	152	65
2	948	65
3	5001	65
done	5001	65

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
3.0b	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `fma-udef` `rem-exp-log`

Counts

3 → 41

Calls

3 calls:

1.0ms	(log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
4.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series103.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
28.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
28.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify61.0ms

Counts

50 → 50

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	149	335
1	435	297
2	1952	287
3	5001	278
done	5001	278

prune127.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/24 (pow x 2) (fma 1/2 x (log x)))
3.0b	(exp (fma 1/24 (pow x 2) (fma 1/2 x (log x))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `*-un-lft-identity` `add-log-exp`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`exp-sum` `rem-exp-log`

Counts

2 → 24

Calls

2 calls:

0.0ms	(fma 1/24 (pow x 2) (fma 1/2 x (log x)))
2.0ms	(exp (fma 1/24 (pow x 2) (fma 1/2 x (log x))))

series48.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma 1/24 (pow x 2) (fma 1/2 x (log x)))
22.0ms	(exp (fma 1/24 (pow x 2) (fma 1/2 x (log x))))

simplify40.0ms

Counts

30 → 30

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	108	189
1	302	166
2	1548	166
3	5001	159
done	5001	159

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4
done	8	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

478.0ms	3465×	body	1280	valid
220.0ms	2535×	body	640	valid
93.0ms	11921×	pre	80	true
61.0ms	1210×	body	320	valid
48.0ms	4107×	body	80	valid
19.0ms	604×	body	160	valid